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Finding the Fourth Proportional to 2,689, 4,033.66 and 865

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Solution

The fourth proportional to 2,689, 4,033.66 and 865 is: 1,297.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689 : 4,033.66 = 865 : x
  2. Step 2: Convert to fraction form
    2,689/4,033.66 = 865/x
  3. Step 3: Cross multiply
    2,689x = 4,033.66 × 865
  4. Step 4: Simplify right side
    2,689x = 3,489,115.90
  5. Step 5: Solve for x
    x = 3,489,115.90/2,689
  6. Step 6: Final answer
    x = 1,297.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.